diff --git a/idea/src/org/jetbrains/kotlin/idea/inspections/JavaCollectionsStaticMethodCallInspection.kt b/idea/src/org/jetbrains/kotlin/idea/inspections/JavaCollectionsStaticMethodCallInspection.kt
index 7bee3712eb7..19f6f741e3a 100644
--- a/idea/src/org/jetbrains/kotlin/idea/inspections/JavaCollectionsStaticMethodCallInspection.kt
+++ b/idea/src/org/jetbrains/kotlin/idea/inspections/JavaCollectionsStaticMethodCallInspection.kt
@@ -12,7 +12,6 @@ import com.intellij.codeInspection.ProblemsHolder
 import com.intellij.openapi.module.ModuleUtilCore
 import com.intellij.openapi.project.Project
 import com.intellij.psi.PsiElementVisitor
-import org.jetbrains.kotlin.builtins.KotlinBuiltIns
 import org.jetbrains.kotlin.config.ApiVersion
 import org.jetbrains.kotlin.idea.caches.resolve.analyze
 import org.jetbrains.kotlin.idea.imports.importableFqName
@@ -20,10 +19,12 @@ import org.jetbrains.kotlin.idea.intentions.callExpression
 import org.jetbrains.kotlin.idea.project.languageVersionSettings
 import org.jetbrains.kotlin.load.java.descriptors.JavaMethodDescriptor
 import org.jetbrains.kotlin.psi.*
+import org.jetbrains.kotlin.resolve.BindingContext
 import org.jetbrains.kotlin.resolve.calls.callUtil.getResolvedCall
 import org.jetbrains.kotlin.resolve.calls.callUtil.getType
-import org.jetbrains.kotlin.resolve.descriptorUtil.fqNameSafe
 import org.jetbrains.kotlin.resolve.lazy.BodyResolveMode
+import org.jetbrains.kotlin.types.typeUtil.builtIns
+import org.jetbrains.kotlin.types.typeUtil.isSubtypeOf
 
 class JavaCollectionsStaticMethodInspection : AbstractKotlinInspection() {
     override fun buildVisitor(holder: ProblemsHolder, isOnTheFly: Boolean): PsiElementVisitor {
@@ -32,11 +33,9 @@ class JavaCollectionsStaticMethodInspection : AbstractKotlinInspection() {
             val args = callExpression.valueArguments
             val firstArg = args.firstOrNull() ?: return
             val context = expression.analyze(BodyResolveMode.PARTIAL)
-            if (KotlinBuiltIns.FQ_NAMES.mutableList !=
-                    firstArg.getArgumentExpression()?.getType(context)?.constructor?.declarationDescriptor?.fqNameSafe) return
+            if (!firstArg.isMutableList(context)) return
 
-            val resolvedCall = expression.getResolvedCall(context) ?: return
-            val descriptor = resolvedCall.resultingDescriptor as? JavaMethodDescriptor ?: return
+            val descriptor = expression.getResolvedCall(context)?.resultingDescriptor as? JavaMethodDescriptor ?: return
             val fqName = descriptor.importableFqName?.asString() ?: return
             if (!canReplaceWithStdLib(expression, fqName, args)) return
 
@@ -69,6 +68,16 @@ class JavaCollectionsStaticMethodInspection : AbstractKotlinInspection() {
 
 }
 
+private fun KtValueArgument.isMutableList(context: BindingContext): Boolean {
+    val type = getArgumentExpression()?.getType(context) ?: return false
+    val constructor = type.constructor
+    val mutableListType = type.builtIns.mutableList.defaultType
+    if (constructor.declarationDescriptor?.defaultType?.isSubtypeOf(mutableListType) == true) return true
+    return constructor.supertypes.reversed().any {
+        it.constructor.declarationDescriptor?.defaultType?.isSubtypeOf(mutableListType) == true
+    }
+}
+
 private class ReplaceWithStdLibFix(private val methodName: String, private val receiver: String) : LocalQuickFix {
     override fun getName() = "Replace with $receiver.$methodName"
 
diff --git a/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt
new file mode 100644
index 00000000000..de55d278f88
--- /dev/null
+++ b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt
@@ -0,0 +1,7 @@
+// RUNTIME_WITH_FULL_JDK
+import java.util.*
+
+fun test () {
+    val list: ArrayList<Int> = ArrayList()
+    <caret>Collections.sort(list)
+}
\ No newline at end of file
diff --git a/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt.after b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt.after
new file mode 100644
index 00000000000..f880418b2c2
--- /dev/null
+++ b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt.after
@@ -0,0 +1,7 @@
+// RUNTIME_WITH_FULL_JDK
+import java.util.*
+
+fun test () {
+    val list: ArrayList<Int> = ArrayList()
+    list.sort()
+}
\ No newline at end of file
diff --git a/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt
new file mode 100644
index 00000000000..11a1d2e8132
--- /dev/null
+++ b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt
@@ -0,0 +1,7 @@
+// RUNTIME_WITH_FULL_JDK
+import java.util.*
+
+fun test () {
+    val list: LinkedList<String> = LinkedList()
+    <caret>Collections.sort(list)
+}
\ No newline at end of file
diff --git a/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt.after b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt.after
new file mode 100644
index 00000000000..3a53ba3ac52
--- /dev/null
+++ b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt.after
@@ -0,0 +1,7 @@
+// RUNTIME_WITH_FULL_JDK
+import java.util.*
+
+fun test () {
+    val list: LinkedList<String> = LinkedList()
+    list.sort()
+}
\ No newline at end of file
diff --git a/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt
new file mode 100644
index 00000000000..df5027fa115
--- /dev/null
+++ b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt
@@ -0,0 +1,7 @@
+// RUNTIME_WITH_FULL_JDK
+import java.util.*
+
+fun test () {
+    val list: Vector<String> = Vector()
+    <caret>Collections.sort(list)
+}
\ No newline at end of file
diff --git a/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt.after b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt.after
new file mode 100644
index 00000000000..55afd51e766
--- /dev/null
+++ b/idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt.after
@@ -0,0 +1,7 @@
+// RUNTIME_WITH_FULL_JDK
+import java.util.*
+
+fun test () {
+    val list: Vector<String> = Vector()
+    list.sort()
+}
\ No newline at end of file
diff --git a/idea/tests/org/jetbrains/kotlin/idea/inspections/LocalInspectionTestGenerated.java b/idea/tests/org/jetbrains/kotlin/idea/inspections/LocalInspectionTestGenerated.java
index e7b662c035a..ca5a8266652 100644
--- a/idea/tests/org/jetbrains/kotlin/idea/inspections/LocalInspectionTestGenerated.java
+++ b/idea/tests/org/jetbrains/kotlin/idea/inspections/LocalInspectionTestGenerated.java
@@ -1545,12 +1545,30 @@ public class LocalInspectionTestGenerated extends AbstractLocalInspectionTest {
             doTest(fileName);
         }
 
+        @TestMetadata("sortArrayList.kt")
+        public void testSortArrayList() throws Exception {
+            String fileName = KotlinTestUtils.navigationMetadata("idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortArrayList.kt");
+            doTest(fileName);
+        }
+
         @TestMetadata("sortImmutableList.kt")
         public void testSortImmutableList() throws Exception {
             String fileName = KotlinTestUtils.navigationMetadata("idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortImmutableList.kt");
             doTest(fileName);
         }
 
+        @TestMetadata("sortLinkedList.kt")
+        public void testSortLinkedList() throws Exception {
+            String fileName = KotlinTestUtils.navigationMetadata("idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortLinkedList.kt");
+            doTest(fileName);
+        }
+
+        @TestMetadata("sortVector.kt")
+        public void testSortVector() throws Exception {
+            String fileName = KotlinTestUtils.navigationMetadata("idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortVector.kt");
+            doTest(fileName);
+        }
+
         @TestMetadata("sortWith.kt")
         public void testSortWith() throws Exception {
             String fileName = KotlinTestUtils.navigationMetadata("idea/testData/inspectionsLocal/javaCollectionsStaticMethod/sortWith.kt");